Mediation: Causal Mechanisms in Business and Management

Author(s):  
Patrick J. Rosopa ◽  
Phoebe Xoxakos ◽  
Coleton King

Mediation refers to causation. Tests for mediation are common in business, management, and related fields. In the simplest mediation model, a researcher asserts that a treatment causes a mediator and that the mediator causes an outcome. For example, a practitioner might examine whether diversity training increases awareness of stereotypes, which, in turn, improves inclusive climate perceptions. Because mediation inferences are causal inferences, it is important to demonstrate that the cause actually precedes the effect, the cause and effect covary, and rival explanations for the causal effect can be ruled out. Although various experimental designs for testing mediation hypotheses are available, single randomized experiments and two randomized experiments provide the strongest evidence for inferring mediation compared with nonexperimental designs, where selection bias and a multitude of confounding variables can make causal interpretations difficult. In addition to experimental designs, traditional statistical approaches for testing mediation include causal steps, difference in coefficients, and product of coefficients. Of the traditional approaches, the causal steps method tends to have low statistical power; the product of coefficients method tends to provide adequate power. Bootstrapping can improve the performance of these tests for mediation. The general causal mediation framework offers a modern approach to testing for causal mechanisms. The general causal mediation framework is flexible. The treatment, mediator, and outcome can be categorical or continuous. The general framework not only incorporates experimental designs (e.g., single randomized experiments, two randomized experiments) but also allows for a variety of statistical models and complex functional forms.

Marketing ZFP ◽  
2019 ◽  
Vol 41 (4) ◽  
pp. 21-32
Author(s):  
Dirk Temme ◽  
Sarah Jensen

Missing values are ubiquitous in empirical marketing research. If missing data are not dealt with properly, this can lead to a loss of statistical power and distorted parameter estimates. While traditional approaches for handling missing data (e.g., listwise deletion) are still widely used, researchers can nowadays choose among various advanced techniques such as multiple imputation analysis or full-information maximum likelihood estimation. Due to the available software, using these modern missing data methods does not pose a major obstacle. Still, their application requires a sound understanding of the prerequisites and limitations of these methods as well as a deeper understanding of the processes that have led to missing values in an empirical study. This article is Part 1 and first introduces Rubin’s classical definition of missing data mechanisms and an alternative, variable-based taxonomy, which provides a graphical representation. Secondly, a selection of visualization tools available in different R packages for the description and exploration of missing data structures is presented.


2021 ◽  
pp. 1-10
Author(s):  
Kentaro Fukumoto

Abstract In pairwise randomized experiments, what if the outcomes of some units are missing? One solution is to delete missing units (the unitwise deletion estimator, UDE). If attrition is nonignorable, however, the UDE is biased. Instead, scholars might employ the pairwise deletion estimator (PDE), which deletes the pairmates of missing units as well. This study proves that the PDE can be biased but more efficient than the UDE and, surprisingly, the conventional variance estimator of the PDE is unbiased in a super-population. I also propose a new variance estimator for the UDE and argue that it is easier to interpret the PDE as a causal effect than the UDE. To conclude, I recommend the PDE rather than the UDE.


2018 ◽  
Author(s):  
Andrew M Rivers ◽  
Jeff Sherman

Failures to replicate high-profile priming effects have raised questions about the reliability of priming phenomena. Studies at the discussion’s center, labeled “social priming,” have been interpreted as a specific indictment of priming that is social in nature. However, “social priming” differs from other priming effects in multiple ways. The present research examines one important difference: whether effects have been demonstrated with within- or between-subjects experimental designs. To examine the significance of this feature, we assess the reliability of four well-known priming effects from the cognitive and social psychological literatures using both between- and within-subjects designs and analyses. All four priming effects are reliable when tested using a within-subjects approach. In contrast, only one priming effect reaches that statistical threshold when using a between-subjects approach. This demonstration serves as a salient illustration of the underappreciated importance of experimental design for statistical power, generally, and for the reliability of priming effects, specifically.


1996 ◽  
Vol 28 (2) ◽  
pp. 319-326 ◽  
Author(s):  
Drake R. Bradley ◽  
Ronald L. Russell ◽  
Charles P. Reeve

2003 ◽  
Vol 28 (4) ◽  
pp. 353-368 ◽  
Author(s):  
Junni L. Zhang ◽  
Donald B. Rubin

The topic of “truncation by death” in randomized experiments arises in many fields, such as medicine, economics and education. Traditional approaches addressing this issue ignore the fact that the outcome after the truncation is neither “censored” nor “missing,” but should be treated as being defined on an extended sample space. Using an educational example to illustrate, we will outline here a formulation for tackling this issue, where we call the outcome “truncated by death” because there is no hidden value of the outcome variable masked by the truncating event. We first formulate the principal stratification ( Frangakis & Rubin, 2002 ) approach, and we then derive large sample bounds for causal effects within the principal strata, with or without various identification assumptions. Extensions are then briefly discussed.


2018 ◽  
Vol 14 (4) ◽  
pp. 185-199 ◽  
Author(s):  
Francesco Audrino

Abstract We address the fiercely debated question of whether the strongest European football clubs get special, preferential treatment from match officials in their decisions on the teams’ players over the course of the teams’ trophy winning streaks. To give an empirical answer to this question, we apply a rigorous econometric analysis for causal effect estimation to a self-constructed data set. We consider the two clubs in the Italian Serie A that experienced a prolonged winning streak during the period 2006–2016, namely Internazionale Milan (Inter) and Juventus Turin, as well as one team from the German Bundesliga (Borussia Dortmund) and one from the English Premier League (Manchester United) that also experienced a winning streak during the same period. This allows us to perform an analysis with enough statistical power to be able to estimate properly the effect of interest. The general opinion among fans, sports journalists, and insiders that the strongest clubs are favored by match officials’ decisions is supported only by the results of the analysis we run for Juventus, whereas for the other clubs under investigation, we did not find any significant bias. During its winning streak, more yellow cards and total booking points (an aggregated measure of yellow and red cards) were given to Juventus opponents. These effects are not only statistically significant, but also have a sizeable impact.


2020 ◽  
Vol 4 (Supplement_2) ◽  
pp. 912-912
Author(s):  
Paddy Ssentongo ◽  
Djibril Ba ◽  
Claudio Fronterre ◽  
Jessica Ericson ◽  
Alison Gernand ◽  
...  

Abstract Objectives Low birth weight (LBW) is a significant risk factor for death in the first 30 days of life. Maternal iron-deficiency anemia during pregnancy increases the risk of LBW. We aimed to explore whether antenatal IFA supplementation reduces neonatal mortality in Uganda and to examine if the association of IFA supplementation with neonatal death is mediated through LBW. Methods We used a retrospective birth cohort from the 2016 population-based Uganda demographic and health survey. We examined information on neonatal survival, sociodemographic and intake of IFA supplementation of 9203 women and 17,202 live-born, term infants ≤ 5 y before the survey. Birth weight was categorized as very low (VLBW, defined as < 1500 g or very small baby as perceived by the mother), low (LBW, birth weight of < 2500 g or baby smaller than average as perceived by the mother), and normal (NBW, ≥ 2500 g or an average and larger baby as perceived by the mother). Causal mediation analysis (CMA) treating the birth weight as a mediator was conducted to measure the direct and indirect effects of IFA on neonatal mortality (death of a live-born infant during the first 30 d of life). Results IFA supplementation was reported in 89% of women. The prevalence of LBW and VLBW was 21% and 7% respectively. 474 (3%) babies died within the 30 d after birth, 320 (66%) died within the first 24 h and 469 (99%) died within the first week of life (early neonatal mortality). IFA supplementation during pregnancy was independently associated with a 56% reduction in neonatal mortality [(hazard ratio (HR): 0.44; 95% CI 0.31, 0.61); P < 0.0001] and 26% reduction in VLBW (Relative risk (RR): 0.74; 95% CI 0.60, 0.92, P = 0.007). There was a linear dose-response relationship between the category of birth weight and increased neonatal mortality (LBW versus NBW: RR: 1.39 95% CI: 1.05–1.81, P = 0.02, VLBW versus NBW: RR; 3.6: 95% CI: 2.83–4.53, P < 0.0001). CMA showed that 6% of the effect of IFA supplement on reducing neonatal mortality was meditated through reducing the risk of VLBW but not through LBW, and 94% of the causal effect was direct. Conclusions The use of antenatal iron/folic acid supplements during pregnancy is an important intervention to reduce neonatal mortality. These findings indicate that the association is weakly mediated through improved birth weight, and other mediators should be identified in future studies. Funding Sources NIH.


2007 ◽  
Vol 29 (1) ◽  
pp. 5-29 ◽  
Author(s):  
Stephen W. Raudenbush ◽  
Andres Martinez ◽  
Jessaca Spybrook

Interest has rapidly increased in studies that randomly assign classrooms or schools to interventions. When well implemented, such studies eliminate selection bias, providing strong evidence about the impact of the interventions. However, unless expected impacts are large, the number of units to be randomized needs to be quite large to achieve adequate statistical power, making these studies potentially quite expensive. This article considers when and to what extent matching or covariance adjustment can reduce the number of groups needed to achieve adequate power and when these approaches actually reduce power. The presentation is nontechnical.


2021 ◽  
Vol 12 ◽  
Author(s):  
Xia Jiang ◽  
Zhaozhong Zhu ◽  
Ali Manouchehrinia ◽  
Tomas Olsson ◽  
Lars Alfredsson ◽  
...  

Purpose: Observational studies have suggested a protective effect of alcohol intake with autoimmune disorders, which was not supported by Mendelian randomization (MR) analyses that used only a few (<20) instrumental variables.Methods: We systemically interrogated a putative causal relationship between alcohol consumption and four common autoimmune disorders, using summary-level data from the largest genome-wide association study (GWAS) conducted on inflammatory bowel disease (IBD), rheumatoid arthritis (RA), multiple sclerosis (MS), and systemic lupus erythematosus (SLE). We quantified the genetic correlation to examine a shared genetic similarity. We constructed a strong instrument using 99 genetic variants associated with drinks per week and applied several two-sample MR methods. We additionally incorporated excessive drinking as reflected by alcohol use disorder identification test score.Results: We observed a negatively shared genetic basis between alcohol intake and autoimmune disorders, although none was significant (rg = −0.07 to −0.02). For most disorders, genetically predicted alcohol consumption was associated with a slightly (10–25%) decreased risk of onset, yet these associations were not significant. Meta-analyzing across RA, MS, and IBD, the three Th1-related disorders yielded to a marginally significantly reduced effect [OR = 0.70 (0.51–0.95), P = 0.02]. Excessive drinking did not appear to reduce the risk of autoimmune disorders.Conclusions: With its greatly augmented sample size and substantially improved statistical power, our MR study does not convincingly support a beneficial role of alcohol consumption in each individual autoimmune disorder. Future studies may be designed to replicate our findings and to understand a causal effect on disease prognosis.


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